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Finding the Third Proportional to 106.13 and 157.69

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Solution

The third proportional to 106.13 and 157.69 is: 234.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.13 : 157.69 = 157.69 : x
  2. Step 2: Convert to fraction form
    106.13/157.69 = 157.69/x
  3. Step 3: Cross multiply
    106.13x = 157.69 × 157.69
  4. Step 4: Simplify right side
    106.13x = 24,865.35
  5. Step 5: Solve for x
    x = 24,865.35/106.13
  6. Step 6: Final answer
    x = 234.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.